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Finding the Fourth Proportional to 94.37, 141.62 and 48.77

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Solution

The fourth proportional to 94.37, 141.62 and 48.77 is: 73.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.37 : 141.62 = 48.77 : x
  2. Step 2: Convert to fraction form
    94.37/141.62 = 48.77/x
  3. Step 3: Cross multiply
    94.37x = 141.62 × 48.77
  4. Step 4: Simplify right side
    94.37x = 6,906.56
  5. Step 5: Solve for x
    x = 6,906.56/94.37
  6. Step 6: Final answer
    x = 73.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.